Least Common Multiple of 765/189, 932/836, 780/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/189, 932/836, 780/131 quickly i.e. 9268740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/189, 932/836, 780/131 is 9268740.

LCM(765/189, 932/836, 780/131) = 9268740

LCM of 765/189, 932/836, 780/131

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 765/189,932/836,780/131

Given numbers are 765/189,932/836,780/131

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 765,932,780

Least Common Multiple of Numerators i.e. LCM of 765,932,780 is 9268740.

GCF of Denominators means GCF of 189,836,131 as per the given fractions.

GCF of 189,836,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,932,780

LCM of Fractions 765/189,932/836,780/131 is 9268740

2 765, 932, 780
2 765, 466, 390
3 765, 233, 195
5 255, 233, 65
51, 233, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 51 x 233 x 13 = 9268740

Least Common Multiple of 765,932,780 with GCF Formula

Least Common Multiple of 765,932,780 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 765,932,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,932,780) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(765,932,780) x common factors =1 x 60 = 60

LCM(765,932,780) = ( 765 × 932 × 780 ) / 60

LCM(765,932,780) = 556124400 / 60

LCM(765,932,780) = 9268740


Lets's calculate GCF of 189,836,131

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9268740/1

Therefore the LCM of Fractions 765/189,932/836,780/131 is 9268740

Greatest Common Factor of 189,836,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,836,131 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 189,836,131 . The biggest common factor number is the GCF number.
So the greatest common factor 189,836,131 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 765/189, 932/836, 780/131

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 765/189, 932/836, 780/131?

Answer: LCM of Numerators as per given numbers 765/189, 932/836, 780/131 is

LCM of Numerators i.e. for 765,932,780 is 9268740

GCF of denominators i.e. for 189,836,131 is 1.

Thus, LCM of Fractions is 9268740.Finally, LCM of Fractions for 765/189, 932/836, 780/131 is 9268740.